The cohomology algebras of orientable Seifert manifolds and applications to Lusternik-Schnirelmann category

Volume 45 / 1998

J. Bryden, P. Zvengrowski Banach Center Publications 45 (1998), 25-39 DOI: 10.4064/-45-1-25-39

Abstract

This note gives a complete description of the cohomology algebra of any orientable Seifert manifold with ℤ/p coefficients, for an arbitrary prime p. As an application, the existence of a degree one map from an orientable Seifert manifold onto a lens space is completely determined. A second application shows that the Lusternik-Schnirelmann category for a large class of Seifert manifolds is equal to 3, which in turn is used to verify the Ganea conjecture for these Seifert manifolds.

Authors

  • J. Bryden
  • P. Zvengrowski

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